Necessary and sufficient conditions of entire subsolutions to Monge-Ampere type equations

被引：6

作者：

Yang, Yuyao ^{[1
]}

Zhang, Xuemei ^{[1
]}

机构：

[1] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 01期

基金：

北京市自然科学基金;

关键词：

Monge-Ampere type equation; Entire subsolutions; Existence; Necessary and sufficient condition; POTENTIAL FUNCTIONS; EXISTENCE; NONEXISTENCE; REGULARITY;

D O I：

10.1007/s43034-022-00228-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The primary objective of this article is to investigate the Monge-Ampere type equation det(1/n) (D(2)u + A(x, u, Du)) = f(u) in R-n. Among others, the necessary and sufficient condition on f for the existence of entire subsolutions is established. This is probably the first time the necessary and sufficient conditions for the existence of entire subsolutions of Monge-Ampere type equations with A depending on Du has been studied.

引用

页数：15

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